Take a look at the hyperlink posted by Jefromi in the comment to my answer below. I was not aware of the possibility to integrate LilyPond with LaTeX. I think that this solution is what you are looking for.
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Harold CavendishApr 23 '11 at 15:03

My recommendation is to use LilyPond, which I believe was formerly based on TeX. It is possibly the best solution you can get for free. The file in my comment to your question is said to be typeset in it. Here is another possible output with displayed chords.

Not sure about the song, but this compiles just like the posted image on a full TeXLive 2014 installation. The only notable difference I see is that the end of the tab columns are open, perhaps because my default paper size is letter.
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SisyphusOct 21 '14 at 1:05

I recently wanted to recreate chord tablature sheets that my guitar teacher used to use in his lessons. They were basically a grid of small tables with 5 times 4 cells. These tables were then filled by hand with the chords I was supposed to remember. Creating these tables is a piece of cake but I wanted the possibility to add the chord schemes with LaTeX, adding position, fingers, barrés, specify the root etc. with an easy syntax. I also wanted a similarly easy syntax for creating tablatures of scales.

I did what I always do in these cases: I wrote me a little package, guitarchordschemes, (which I will upload to CTAN if you deem it useful) that allows to do that. Below are a few examples: